{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2HE4KJDUG4OEE7GIPUYKGLCBGL","short_pith_number":"pith:2HE4KJDU","canonical_record":{"source":{"id":"1202.1201","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-02-06T16:50:54Z","cross_cats_sorted":["cs.GT","nlin.AO"],"title_canon_sha256":"a5b26aeafd841e7b52020a5c5af9ce39c3ad613283e542bc46a3ea863655edf4","abstract_canon_sha256":"38363a2a463142b2f06bc0f42bbc7b833a5c385f683d9586c820e0eeb894850d"},"schema_version":"1.0"},"canonical_sha256":"d1c9c52474371c427cc87d30a32c4132d45c0bd5ae88cd5bcdfaf946130873f8","source":{"kind":"arxiv","id":"1202.1201","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1201","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1201v2","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1201","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"pith_short_12","alias_value":"2HE4KJDUG4OE","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2HE4KJDUG4OEE7GI","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2HE4KJDU","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2HE4KJDUG4OEE7GIPUYKGLCBGL","target":"record","payload":{"canonical_record":{"source":{"id":"1202.1201","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-02-06T16:50:54Z","cross_cats_sorted":["cs.GT","nlin.AO"],"title_canon_sha256":"a5b26aeafd841e7b52020a5c5af9ce39c3ad613283e542bc46a3ea863655edf4","abstract_canon_sha256":"38363a2a463142b2f06bc0f42bbc7b833a5c385f683d9586c820e0eeb894850d"},"schema_version":"1.0"},"canonical_sha256":"d1c9c52474371c427cc87d30a32c4132d45c0bd5ae88cd5bcdfaf946130873f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:50.707211Z","signature_b64":"f5m3MQCbEJ+puwFkGeHr798ilX7lxUiX4nR3Ou4Ht9/xlld8xT1FhIRtA+A9JwWMQAQZxJMsGvjaaWdhBHcOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1c9c52474371c427cc87d30a32c4132d45c0bd5ae88cd5bcdfaf946130873f8","last_reissued_at":"2026-05-18T03:52:50.706310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:50.706310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.1201","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:52:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PgkzvqCdbQPBLduoJ7wEt7AD4to/VbfgjqemQxyvlrTjKsFXU+kT3NQ7N0Xg3YL63JyQEDuubSTDNCYaBzJaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T00:12:31.071244Z"},"content_sha256":"e4bbbbefb979fb3182bf296a7956abfcf1dc8d091ed68fea1b3352799ed111d0","schema_version":"1.0","event_id":"sha256:e4bbbbefb979fb3182bf296a7956abfcf1dc8d091ed68fea1b3352799ed111d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2HE4KJDUG4OEE7GIPUYKGLCBGL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal migration promotes the outbreak of cooperation in heterogeneous populations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","nlin.AO"],"primary_cat":"physics.soc-ph","authors_text":"Frank Schweitzer, Laxmidhar Behera","submitted_at":"2012-02-06T16:50:54Z","abstract_excerpt":"We consider a population of agents that are heterogeneous with respect to (i) their strategy when interacting $n_{g}$ times with other agents in an iterated prisoners dilemma game, (ii) their spatial location on $K$ different islands. After each generation, agents adopt strategies proportional to their average payoff received. Assuming a mix of two cooperating and two defecting strategies, we first investigate for isolated islands the conditions for an exclusive domination of each of these strategies and their possible coexistence. This allows to define a threshold frequency for cooperation th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1201","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:52:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxFI3jhVTnGPJWAQur9OziC4JjjNokNClBwPBG9/5OegcT5qAcmO0drHcY9WXom7iJxpCbIC7dQi7HuSN++8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T00:12:31.071650Z"},"content_sha256":"55d1bac44cdee76965e7d1cf4ddff0d2b9772c4b144be967bed29a28a902e7a8","schema_version":"1.0","event_id":"sha256:55d1bac44cdee76965e7d1cf4ddff0d2b9772c4b144be967bed29a28a902e7a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2HE4KJDUG4OEE7GIPUYKGLCBGL/bundle.json","state_url":"https://pith.science/pith/2HE4KJDUG4OEE7GIPUYKGLCBGL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2HE4KJDUG4OEE7GIPUYKGLCBGL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-09T00:12:31Z","links":{"resolver":"https://pith.science/pith/2HE4KJDUG4OEE7GIPUYKGLCBGL","bundle":"https://pith.science/pith/2HE4KJDUG4OEE7GIPUYKGLCBGL/bundle.json","state":"https://pith.science/pith/2HE4KJDUG4OEE7GIPUYKGLCBGL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2HE4KJDUG4OEE7GIPUYKGLCBGL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2HE4KJDUG4OEE7GIPUYKGLCBGL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"38363a2a463142b2f06bc0f42bbc7b833a5c385f683d9586c820e0eeb894850d","cross_cats_sorted":["cs.GT","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-02-06T16:50:54Z","title_canon_sha256":"a5b26aeafd841e7b52020a5c5af9ce39c3ad613283e542bc46a3ea863655edf4"},"schema_version":"1.0","source":{"id":"1202.1201","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1201","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1201v2","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1201","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"pith_short_12","alias_value":"2HE4KJDUG4OE","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2HE4KJDUG4OEE7GI","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2HE4KJDU","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:55d1bac44cdee76965e7d1cf4ddff0d2b9772c4b144be967bed29a28a902e7a8","target":"graph","created_at":"2026-05-18T03:52:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider a population of agents that are heterogeneous with respect to (i) their strategy when interacting $n_{g}$ times with other agents in an iterated prisoners dilemma game, (ii) their spatial location on $K$ different islands. After each generation, agents adopt strategies proportional to their average payoff received. Assuming a mix of two cooperating and two defecting strategies, we first investigate for isolated islands the conditions for an exclusive domination of each of these strategies and their possible coexistence. This allows to define a threshold frequency for cooperation th","authors_text":"Frank Schweitzer, Laxmidhar Behera","cross_cats":["cs.GT","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-02-06T16:50:54Z","title":"Optimal migration promotes the outbreak of cooperation in heterogeneous populations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1201","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e4bbbbefb979fb3182bf296a7956abfcf1dc8d091ed68fea1b3352799ed111d0","target":"record","created_at":"2026-05-18T03:52:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"38363a2a463142b2f06bc0f42bbc7b833a5c385f683d9586c820e0eeb894850d","cross_cats_sorted":["cs.GT","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-02-06T16:50:54Z","title_canon_sha256":"a5b26aeafd841e7b52020a5c5af9ce39c3ad613283e542bc46a3ea863655edf4"},"schema_version":"1.0","source":{"id":"1202.1201","kind":"arxiv","version":2}},"canonical_sha256":"d1c9c52474371c427cc87d30a32c4132d45c0bd5ae88cd5bcdfaf946130873f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1c9c52474371c427cc87d30a32c4132d45c0bd5ae88cd5bcdfaf946130873f8","first_computed_at":"2026-05-18T03:52:50.706310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:50.706310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f5m3MQCbEJ+puwFkGeHr798ilX7lxUiX4nR3Ou4Ht9/xlld8xT1FhIRtA+A9JwWMQAQZxJMsGvjaaWdhBHcOAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:50.707211Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1201","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4bbbbefb979fb3182bf296a7956abfcf1dc8d091ed68fea1b3352799ed111d0","sha256:55d1bac44cdee76965e7d1cf4ddff0d2b9772c4b144be967bed29a28a902e7a8"],"state_sha256":"2833b512b781483e0326abb38435e3c936996a0ccdc13335cf0562d3ab7b2c5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47M18nWpfP57cVOJ8m0B3d7ZnMk3jag4FedDYcdHS7weipMyq1eqEoTHVP9oqAIX783ngZbRi7luXIDudHcgDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T00:12:31.073743Z","bundle_sha256":"16c17f6f36e5c092cc2b4f941357aa7f540b55d9f54159608ce7a17a2d2a1cb2"}}